The function that converts an input of letters and numbers into an encrypted output of a fixed length is the hash function
How to determine the function?From the question, we have the following highlights:
The inputs are letters and numbersThese inputs are converted and encryptedThe output has a fixed lengthThe mathematical function with the above features is a hash function
Hence, the function is the hash function
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In a triangle, a 32° angle is between two sides of 12 feet
and 16 feet. What is the length of the third side, in feet?
Round to one decimal place.
Answer:
please check photo for detailed analysis
Cason read an article claiming that 98.6\%98.6%98, point, 6, percent of births in his country happen in a hospital, 0.5\%0.5%0, point, 5, percent in a home, 0.4\%0.4%0, point, 4, percent in a birthing center, and 0.5\%0.5%0, point, 5, percent in other places. He wondered if the locations of births at his state followed this distribution, so he took a random sample of 200020002000 births and recorded where they happened. Here are his results:
Location Hospital Home Birthing center Other
Births 196819681968 141414 888 101010
He wants to use these results to carry out a \chi^2χ
2
\chi, squared goodness-of-fit test to determine if the distribution of birthing locations in his state disagrees with the claimed percentages.
What are the values of the test statistic and P-value for Cason's test?
Answer:
D) X^2 = 1.608;
P-value > 0.25
Step-by-step explanation:
Correct on Khan
What is the range of the function f(x) = 3x2 6x – 8?
The domain of the function 3x² + 6x – 8 is a real number and the range of the function 3x² + 6x – 8 will be (-11, ∞).
What are domain and range?The domain means all the possible values of the x and the range means all the possible values of the y.
The function is given below.
f(x) = 3x² + 6x – 8
The range of the function will be
f(x) = 3x² + 6x – 8
f(x) = 3x² + 6x + 3 – 11
f(x) = 3(x² + 2x + 1) – 11
f(x) = 3(x + 1)² – 11
Then the range of the function will be from -11 to infinity.
More about the domain and range link is given below.
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Perform the operation. (9x^2-8)+(9x^2+9x+3)
Answer:
The answer is -5
Step-by-step explanation:
Hope it helps
Answer:
Step-by-step explanation:
Like terms have same variable with same power. Combine the like terms. Add / subtract the coeffiecient of the like terms.
9x² and 9x² are like terms
-8 and 3 are like terms.
9x² - 8 + 9x² + 9x + 3 = 9x² + 9x² +9x - 8 + 3
= 18x² + 9x - 5
153 apples, 255 oranges, 357 pears are to be distributed to a group of children. Suppose each child in the group receives an equal number for each type of fruit.
a) Find the least possible number of children in the group
b) the maximum possible number of children in the group
c) the least possible number of apples, oranges and pears each child can receive
d) the maximum possible number of apples, oranges and pears each child can receive.
Answer:
Below in bold.
Step-by-step explanation:
a) we need the grestest common factor of theses values
153 = 3 * 3 * 17
255 = 3 * 5*17
357 = 3 * 7 * 17
The GCF = 3 * 17 = 51.
a) the least possible number of children is 3.
b) The maximum number is 51 ( as 51 is the GCF of the given values).
c) the least possible number of fruits is when b) occurs, that is:
153/51, 255/51 and 357/51
= 3 apples , 5 oranges and 7 pears.
d) the maximum number of fruits is :
153/3, 255/3 and 357/3
= 51 apples , 85 oranges and 119 pears.
Answer:
a) 3 children
b) 51 children
c) 3 apples, 5 oranges and 7 pears
d) 51 apples, 85 oranges and 119 pears
Step-by-step explanation:
lnc - Least possible number of children in group
mnc - maximum possible number of children in group
a - Apples
o - Oranges
p - Pears
a = 153
o = 255
p = 357
a)
To solve this, find the highest divisor for the apples, oranges and pears.
[tex]a = \frac{153}{51} [/tex]
[tex]a = 3[/tex]
[tex]o = \frac{255}{85} [/tex]
[tex]o = 3[/tex]
[tex]p = \frac{357}{119} [/tex]
[tex]p = 3[/tex]
In order for each child to get 51 apples, 85 oranges and 119 pears, there would need to be a minimum of 3 children in the group.
[tex]lnc \: = 3[/tex]
b)
To solve this, find the lowest divisor for the apples, oranges and pears.
[tex]a = \frac{153}{3} [/tex]
[tex]a = 51[/tex]
[tex]o = \frac{255}{5} [/tex]
[tex]o = 51[/tex]
[tex]p = \frac{357}{7} [/tex]
[tex]p = 51[/tex]
In order for each child to get 3 apples, 5 oranges and 7 pears, there would need to be a maximum of 51 children in the group.
[tex]mnc = 51[/tex]
c)
In a group of 51, each child will get:
- 3 apples
- 5 oranges
- 7 pears
d)
In a group of 3, each child will get
- 51 apples
- 85 oranges
- 119 pears
WHATS THE ANSWER, pls
answer.
1 Wendi is 6 years older than Zaviel. The sum
3
of their ages is 30. Which of these systems
of equations can be used to find Wendi's age
(w) and Zaviel's age (z)?
A W = 6z
с w = 6z
W + z = 30
WZ = 30
B
w = 2 + 6
D
W = Z + 6
W + z = 30
WZ = 30
D
W = Z + 6
W + z = 30
WZ = 30
Sure hope this helps you and pls mark me brainiestCan someone please help me with this question?
Answer:
150-179 minutes
Step-by-step explanation:
The most common interval (the tallest graph) of minutes students spent watching watching TV?
The correct answer should be 150-179 minutes because it's the most common, meaning that a lot of students spent 150-179 minutes watching TV.
Hope this helps!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
As per the given graph we can observe the number of students which watched TV for certain intervals.
According to question, we have to find the common interval of minutes students spent watching TV~
That means : we have to find the time interval in which most of the students prefer to watch TV ~
Hence, the most common interval is :
[tex]\qquad \tt \dashrightarrow \:150 - 179 \: \: \: minutes[/tex]
AABC is translated 4 units to the left and 8 units up. Answer the questions to find the
coordinates of A after the translation.
1. Give the rule for translating a point 4 units left and 8 units up. (2 points)
Answer:
(3, 13)
Step-by-step explanation:
Original coordinates of A
A = (7, 5)After translating left 4 units
A' = (7 - 4, 5)A' = (3, 5)After translating up 8 units
A'' = (3, 5 + 8)A'' = (3, 13)6. How many real-number solutions does the equation have?
0=3x62+18x+27
a. one solution
b. two solutions
c. no solutions
d. infinitely many solutions
I think it's A but I'm not too sure...
Answer:
well for starters
the answer you get when you factor it out is 3(x+3)(x+3)
i know that would mean x=-3 but i dont know how the big 3 would effect anything. hope this helps
Which function has zeros at x = 10 and x = 2? f(x) = x2 – 12x 20 f(x) = x2 – 20x 12 f(x) = 5x2 40x 60 f(x) = 5x2 60x 100
The function which has zeros at x = 10 and x = 2 is [tex]\rm f(x)=x^2-12x+20[/tex].
What are the zeros of the function?The zero of a function is any replacement for the variable that will produce an answer of zero.
Graphically, the real zero of a function is where the function's graph crosses the x-axis; that is, the real zero of a function is the x-intercept (s) of the function's graph.
The function which has zeros at x = 10 and x = 2 is;
[tex]\rm f(x)=(x-10)(x-2)\\\\f(x)=x(x-2)-10(x-2)\\\\f(x)= x^2-2x-10x+20\\\\f(x)=x^2-12x+20[/tex]
Hence, the function which has zeros at x = 10 and x = 2 is [tex]\rm f(x)=x^2-12x+20[/tex].
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Answer: A. f(x) = x^2 – 12x + 20
right on edge 2023 :)
What is the purpose of consumer rights?
Answer:
Consumer rights and consumer protection law provides a way for individuals to fight back against abusive business practices. These laws are designed to hold sellers of goods and services accountable when they seek to profit by taking advantage of a consumer's lack of information or bargaining power.
Step-by-step explanation:
Individuals can use consumer rights and consumer protection laws to fight back against unfair company practices.
What are consumer rights?Consumer rights refer to a corpus of legislation that governs what manufacturers of goods must do to safeguard their consumers from damage.
These statutes arose from a succession of court battles, and they have been influenced by the outcomes of those battles.
These rules are intended to hold retailers and service providers responsible when they seek to benefit from a consumer's lack of knowledge or bargaining power.
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8. The Computer Shop sells computers. The shop has a fixed the shop has a fixed cost of $1500 per
week. Its average cost per computer is $649 each, and the average selling price is
$899 each.
a. Write the linear cost function
b. Write the linear revenue function
I
c. Find the cost of selling 37 computers per week
d. Find the revenue from selling 37 computers
e. Find the break-even point.
The linear cost function of the computer shop in this scenario will be C(x) = 649x + 1500.
How to calculate the functions?From the information, the linear cost function is C(x) = 649x + 1500 and the linear revenue function will be R(x) = 899x.
The cost of selling 37 computers will be:
C(x) = 649x + 1500
C(x) = 649(37) + 1500
C = 25513
The revenue from selling 37 computers will be:
R(x) = 899x.
R = 899(37)
R = 33263
The breakeven point will be:
649x + 1500 = 899x
899x - 649x = 1500.
250x = 1500
x = 1500/250
x = 6
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The length of one leg of a right triangle is 9 ft. The length of the hypotenuse is 3 feet longer than the other leg. Find the length of the hypotenuse and the other leg.
The length of the hypotenuse is ___ ft.
Answer:
The length of the hypotenuse is 14 ft[tex] \: [/tex]
Step-by-step explanation:
We'll solve this using the Pythagorean theorem, we know that,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}}[/tex]
So, As it is given in the question that, the length of one leg of a right triangle is 9 ft and the length of the hypotenuse is 3 feet longer than the other leg and we are to find the length of the hypotenuse and the other leg.
[tex] \: [/tex]
Let us assume the other leg as x ft and therefore the hypotenuse will be (x + 3) ft.
[tex] \: [/tex]
Now, substituting the values in the formula :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x + 3 {)}^{2} = (9 {)}^{2} + (x) {}^{2} }}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (x {)}^{2} + 2.x.3 + {(3)}^{2} =81 + (x) {}^{2} }}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad \cancel{ (x {)}^{2}} + 2.x.3 +9 =81 + \cancel{(x) {}^{2} }}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 6x + 9 =81 }}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 6x =81 - 9 }}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 6x =72 }}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{72}{6} }}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad x =12 }}} \\ \\ [/tex]
Therefore,
The length of other leg is 12 ft . And the length of hypotenuse is (12 + 2) ft = 14 ft
Louise buys five raffle ticket out of 1000 sold.she does not win the first prize.what is the probability that she will win the second prize
Answer:
1 in 999 i guess
Step-by-step explanation:
James spent $98 at the mall. He purchased a pair of shoes for $55 and 2 t-shirts. Write an equation to show how much each t-shirt cost.
Type an equation that matches the situation. Use x for the variable.
///////////////////////////////////////////////////
Answer:
x = 27°
Step-by-step explanation:
[tex]m < 2 = 2\% \times 180 \\ = 36 \\ \\ m < 2 = 65\% \times 180 \\ = 117 \\ \\ [/tex]
Now,
[tex]x = 180 - (36 + 117) \\ \\ x = 180 - 153 \\ \\ x = 27[/tex]
Erica likes to ride her horse on a 1/2 mile trail. On Monday, Erica rode her
horse a total of 7/2 miles. On Tuesday, she rode 3/4 of the distance that
she rode on Monday. How far did Erica ride her horse on Tuesday?*
Answer:
21/8 or 2 5/8
Step-by-step explanation:
7/2 miles is equal to 3 1/2 mile trail, or also a 3 2/4 mile trail. You then multiply 3 2/4 and 3/4 and get 2 5/8 or 21/8.
A bee's wings can beat about 6.48 * 10 ^ 5 times an hour. How is this number written in standard form?
Answer:
648000 times/hr
Step-by-step explanation:
6.48 * 10^5
Move the decimal 5 times to the right.
The answer you should get is 648000 times per hour.
Normal Distributions
According to the College Board, the probability that a student forgets to bring their ID with them when they take their SAT is 3%. A random sample of
500 students was selected. Let p-hat be the proportion of the sample which forgot their ID.
1. What is the mean of the sampling proportion?
2. What is the standard deviation of the sampling proportion?
(Round to the nearest thousandth. )
The mean of the sampling proportion is 0.03 and the standard deviation of the sampling proportion is 0.008 if the probability that a student forgets to bring their ID with them when they take their SAT is 3%. and a random sample of 500 students was selected.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
We have:
p = 0.03
n = 500 students
[tex]\rm {\hat p} - Normal[/tex]
So the mean:
[tex]\rm \mu _\hat p \ = \ p \ = \ 0.03[/tex]
For standard deviation:
[tex]\rm \sigma_p = \sqrt{\frac{pq}{m} }[/tex]
q = 1 - p = 1 - 0.03 = 0.97
[tex]\rm \sigma_p = \sqrt{\frac{0.03\times 0.97}{500} }[/tex]
[tex]\rm \sigma_p = 0.008[/tex]
Thus, the mean of the sampling proportion is 0.03 and the standard deviation of the sampling proportion is 0.008 if the probability that a student forgets to bring their ID with them when they take their SAT is 3%. and a random sample of 500 students was selected.
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43/57 to a percentage
Answer:
our fraction is 75.438596491228/100, which means that 43/57 as a percentage is 75.4386%.
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
To convert a fraction to a percentage, multiply the fraction or result by 100. [tex](\frac{43}{57})*100 = 75.44%[/tex] = 75%
*note that 75.44 is rounded, the original number is longer.
8(p-6) > 4(p-4)
How do I solve?
Answer:
p > 8
Step-by-step explanation:
8p - 48 > 4p - 16
plus 48 on both sides
8p > 4p + 32
minus 4p on both sides
4p > 32
divide 4 on both sides, 32 ÷ 4 = 8, so,
p>8
Answer:
P > 8 ??? I don't know if this is right and if its not then sorry lol
Step-by-step explanation:
Multiply 8(p-6) and 4(p-4)
You will get 8p - 48 > 4p - 16
Then add 48 to -16
Then you will get 8p > 4p + 32
Then subtract 4p from 8p
Then you will get 4p > 32
Then divide 4 from 4p and 32
Then you will get p > 8
PLEASEEE HELP !!!!!!!!!!
A store sold 650 bicycles last year. This year the store sold 572
bicycles. What is the percent decrease in the number of bicycles sold from last year to this year?
Can anyone help please? i need this now look at the picture below and write down Explaining how rays AB and AC form both a line and an angle.
Answer:
The points A,B, and C are collinear, so both segments AB and AC form one straight line.
Since segments AB and AC have a common point A so they form an angle BAC
what is the best game that you think of
Answer:
The best game I can think of is the game of life
Step-by-step explanation:
Simply because its fun to have different experiences each time you play and can chose whatever
Answer:
Mobile- Animal crossing pocket camp
Step-by-step explanation:
I love this game :3
It's really relaxing and a fun way to pass a few minutes. -Crispin
Ay a benefit concert eight bands have volunteered to perform but there is only enough time for five of the bands to play how many lineups are possible
Using the permutation formula, as the order is important, it is found that 6720 lineups are possible.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 5 bands are selected from a set of 8, hence:
[tex]P_{8,3} = \frac{8!}{3!} = 6720[/tex]
6720 lineups are possible.
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PLEASE HELP ITS A MATH PROBLEM !!! A smart phone costs $800 and loses 2/5 of its value every year.
How much is the phone worth after 3 years?
Question options:
$69.12
$288.00
$798.80
$172.80
* i will award brainlist
Answer:
$172.80
Step-by-step explanation:
The phone cost $800
Decreases by 2/5 every year. So the cost would be 3/5 (instead of doing 800 - 800 *2/5 its easier to just do 800*3/5)
Here is a equation for this question:
[tex]800* (\frac{3}{5})^{t}[/tex]
t = time in years
So we can plug in 3 for t
[tex]800* (\frac{3}{5})^{3}[/tex]
[tex]800* (\frac{27}{125})[/tex]
[tex]172.8[/tex]
So the phone is now worth $172.80
Hope this helps! :)
Please help me solve and show all steps, thank you!!!
Answer:
y = -2x² + 12x - 14
Step-by-step explanation:
Isolate the "-2" in (x - 3)² by using brackets:
⇒ y = -2(x - 3)² + 4⇒ y = -2[(x - 3)²] + 4Using the formula (a - b)² = a² - 2ab + b²:
⇒ y = -2[(x - 3)²] + 4⇒ y = -2[x² - 2(x)(3) + 3²] + 4Open the brackets on the R.H.S
⇒ y = -2[x² - 6(x) + 9] + 4⇒ y = -2x² + 12(x) - 18 + 4Simplify the expression on the R.H.S
⇒ y = -2x² + 12(x) - 18 + 4⇒ y = -2x² + 12x - 14What is the area of this right triangle?
36
ft
2
36 ft 2
54
ft
2
54 ft 2
108
ft
2
108 ft 2
135
ft
2
I think it is exactly 90ft
solve for the value of x. Show your Solution. ( 5 points ) Given ∆RPA and ∆NUJ, RP = 2× + 5 and
NU = 13
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
As we can see in the given figure, The two triangles are congruent to each other by many criterias, so we can infer that Their corresponding sides are of equal length.
That is :
[tex]\qquad \tt \dashrightarrow \:2x + 5 = 13[/tex]
[tex]\qquad \tt \dashrightarrow \:2x = 13 - 5[/tex]
[tex]\qquad \tt \dashrightarrow \:2x = 8[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 8 \div 2[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 4[/tex]
Therefore, value of x is 4
Answer:
x = 4
Step-by-step explanation:
the point here is congruent triangles.
according to the image,
2x + 5 = 13 <---- subtract constants
2x = 13 - 5 = 8 <--- finalize
2x = 8 <----------- divide both sides by 2
2x / 2 = 8 / 2 <-- finalize
x = 4 <--- answer